Solve 3x/2y=A/10y^2

$$\frac { 3 x } { 2 y } = \frac { A } { 10 y ^ { 2 } }$$

Solve for A

$$A=15xy$$

$$y\neq 0$$

Solution Steps

Multiply both sides of the equation by 10y^{2}, the least common multiple of 2y,10y^{2}.

$$5y\times 3x=A$$

Multiply 5 and 3 to get 15.

$$15yx=A$$

Swap sides so that all variable terms are on the left hand side.

$$A=15yx$$

Solve for x

$$x=\frac{A}{15y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10y^{2}, the least common multiple of 2y,10y^{2}.

$$5y\times 3x=A$$

Multiply 5 and 3 to get 15.

$$15yx=A$$

Divide both sides by 15y.

$$\frac{15yx}{15y}=\frac{A}{15y}$$

Dividing by 15y undoes the multiplication by 15y.

$$x=\frac{A}{15y}$$